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Simplifying 36y2 + 36y + 9 = 64 Reorder the terms: 9 + 36y + 36y2 = 64 Solving 9 + 36y + 36y2 = 64 Solving for variable 'y'. Reorder the terms: 9 + -64 + 36y + 36y2 = 64 + -64 Combine like terms: 9 + -64 = -55 -55 + 36y + 36y2 = 64 + -64 Combine like terms: 64 + -64 = 0 -55 + 36y + 36y2 = 0 Factor a trinomial. (-11 + -6y)(5 + -6y) = 0Subproblem 1
Set the factor '(-11 + -6y)' equal to zero and attempt to solve: Simplifying -11 + -6y = 0 Solving -11 + -6y = 0 Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -6y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -6y = 0 + 11 -6y = 0 + 11 Combine like terms: 0 + 11 = 11 -6y = 11 Divide each side by '-6'. y = -1.833333333 Simplifying y = -1.833333333Subproblem 2
Set the factor '(5 + -6y)' equal to zero and attempt to solve: Simplifying 5 + -6y = 0 Solving 5 + -6y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -6y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6y = 0 + -5 -6y = 0 + -5 Combine like terms: 0 + -5 = -5 -6y = -5 Divide each side by '-6'. y = 0.8333333333 Simplifying y = 0.8333333333Solution
y = {-1.833333333, 0.8333333333}
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